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Finding the Fourth Proportional to 33,024.80, 49,537.20 and 13,293.20

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Solution

The fourth proportional to 33,024.80, 49,537.20 and 13,293.20 is: 19,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,024.80 : 49,537.20 = 13,293.20 : x
  2. Step 2: Convert to fraction form
    33,024.80/49,537.20 = 13,293.20/x
  3. Step 3: Cross multiply
    33,024.80x = 49,537.20 × 13,293.20
  4. Step 4: Simplify right side
    33,024.80x = 658,507,907.04
  5. Step 5: Solve for x
    x = 658,507,907.04/33,024.80
  6. Step 6: Final answer
    x = 19,939.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.